{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 感知器可以解决简单的逻辑问题"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 逻辑与数据\n",
    "samples_and = [[0,0,0],[1,0,0],[0,1,0],[1,1,1]]\n",
    "# 逻辑或数据\n",
    "samples_or = [[0,0,0],[1,0,1],[0,1,1],[1,1,1]]\n",
    "# 逻辑异或数据\n",
    "samples_xor = [[0,0,0],[1,0,1],[0,1,1],[1,1,0]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "logical and:\n",
      "epoch0 sample 0 [1 2 0 0 0 0 0 ]\n",
      "epoch0 sample 1 [1 2 0 1 -1 0 -1 ]\n",
      "epoch0 sample 2 [0 2 -1 1 0 -1 -1 ]\n",
      "epoch0 sample 3 [0 1 -2 0 1 1 1 ]\n",
      "epoch1 sample 0 [1 2 -1 0 0 0 0 ]\n",
      "epoch1 sample 1 [1 2 -1 0 0 0 0 ]\n",
      "epoch1 sample 2 [1 2 -1 1 0 -1 -1 ]\n",
      "epoch1 sample 3 [1 1 -2 0 1 1 1 ]\n",
      "epoch2 sample 0 [2 2 -1 0 0 0 0 ]\n",
      "epoch2 sample 1 [2 2 -1 1 -1 0 -1 ]\n",
      "epoch2 sample 2 [1 2 -2 0 0 0 0 ]\n",
      "epoch2 sample 3 [1 2 -2 1 0 0 0 ]\n",
      "epoch3 sample 0 [1 2 -2 0 0 0 0 ]\n",
      "epoch3 sample 1 [1 2 -2 0 0 0 0 ]\n",
      "epoch3 sample 2 [1 2 -2 0 0 0 0 ]\n",
      "epoch3 sample 3 [1 2 -2 1 0 0 0 ]\n",
      "epoch4 sample 0 [1 2 -2 0 0 0 0 ]\n",
      "epoch4 sample 1 [1 2 -2 0 0 0 0 ]\n",
      "epoch4 sample 2 [1 2 -2 0 0 0 0 ]\n",
      "epoch4 sample 3 [1 2 -2 1 0 0 0 ]\n",
      "epoch5 sample 0 [1 2 -2 0 0 0 0 ]\n",
      "epoch5 sample 1 [1 2 -2 0 0 0 0 ]\n",
      "epoch5 sample 2 [1 2 -2 0 0 0 0 ]\n",
      "epoch5 sample 3 [1 2 -2 1 0 0 0 ]\n",
      "epoch6 sample 0 [1 2 -2 0 0 0 0 ]\n",
      "epoch6 sample 1 [1 2 -2 0 0 0 0 ]\n",
      "epoch6 sample 2 [1 2 -2 0 0 0 0 ]\n",
      "epoch6 sample 3 [1 2 -2 1 0 0 0 ]\n",
      "epoch7 sample 0 [1 2 -2 0 0 0 0 ]\n",
      "epoch7 sample 1 [1 2 -2 0 0 0 0 ]\n",
      "epoch7 sample 2 [1 2 -2 0 0 0 0 ]\n",
      "epoch7 sample 3 [1 2 -2 1 0 0 0 ]\n",
      "epoch8 sample 0 [1 2 -2 0 0 0 0 ]\n",
      "epoch8 sample 1 [1 2 -2 0 0 0 0 ]\n",
      "epoch8 sample 2 [1 2 -2 0 0 0 0 ]\n",
      "epoch8 sample 3 [1 2 -2 1 0 0 0 ]\n",
      "epoch9 sample 0 [1 2 -2 0 0 0 0 ]\n",
      "epoch9 sample 1 [1 2 -2 0 0 0 0 ]\n",
      "epoch9 sample 2 [1 2 -2 0 0 0 0 ]\n",
      "epoch9 sample 3 [1 2 -2 1 0 0 0 ]\n",
      "logic or:\n",
      "epoch0 sample 0 [1 2 0 0 0 0 0 ]\n",
      "epoch0 sample 1 [1 2 0 1 0 0 0 ]\n",
      "epoch0 sample 2 [1 2 0 1 0 0 0 ]\n",
      "epoch0 sample 3 [1 2 0 1 0 0 0 ]\n",
      "epoch1 sample 0 [1 2 0 0 0 0 0 ]\n",
      "epoch1 sample 1 [1 2 0 1 0 0 0 ]\n",
      "epoch1 sample 2 [1 2 0 1 0 0 0 ]\n",
      "epoch1 sample 3 [1 2 0 1 0 0 0 ]\n",
      "epoch2 sample 0 [1 2 0 0 0 0 0 ]\n",
      "epoch2 sample 1 [1 2 0 1 0 0 0 ]\n",
      "epoch2 sample 2 [1 2 0 1 0 0 0 ]\n",
      "epoch2 sample 3 [1 2 0 1 0 0 0 ]\n",
      "epoch3 sample 0 [1 2 0 0 0 0 0 ]\n",
      "epoch3 sample 1 [1 2 0 1 0 0 0 ]\n",
      "epoch3 sample 2 [1 2 0 1 0 0 0 ]\n",
      "epoch3 sample 3 [1 2 0 1 0 0 0 ]\n",
      "epoch4 sample 0 [1 2 0 0 0 0 0 ]\n",
      "epoch4 sample 1 [1 2 0 1 0 0 0 ]\n",
      "epoch4 sample 2 [1 2 0 1 0 0 0 ]\n",
      "epoch4 sample 3 [1 2 0 1 0 0 0 ]\n",
      "epoch5 sample 0 [1 2 0 0 0 0 0 ]\n",
      "epoch5 sample 1 [1 2 0 1 0 0 0 ]\n",
      "epoch5 sample 2 [1 2 0 1 0 0 0 ]\n",
      "epoch5 sample 3 [1 2 0 1 0 0 0 ]\n",
      "epoch6 sample 0 [1 2 0 0 0 0 0 ]\n",
      "epoch6 sample 1 [1 2 0 1 0 0 0 ]\n",
      "epoch6 sample 2 [1 2 0 1 0 0 0 ]\n",
      "epoch6 sample 3 [1 2 0 1 0 0 0 ]\n",
      "epoch7 sample 0 [1 2 0 0 0 0 0 ]\n",
      "epoch7 sample 1 [1 2 0 1 0 0 0 ]\n",
      "epoch7 sample 2 [1 2 0 1 0 0 0 ]\n",
      "epoch7 sample 3 [1 2 0 1 0 0 0 ]\n",
      "epoch8 sample 0 [1 2 0 0 0 0 0 ]\n",
      "epoch8 sample 1 [1 2 0 1 0 0 0 ]\n",
      "epoch8 sample 2 [1 2 0 1 0 0 0 ]\n",
      "epoch8 sample 3 [1 2 0 1 0 0 0 ]\n",
      "epoch9 sample 0 [1 2 0 0 0 0 0 ]\n",
      "epoch9 sample 1 [1 2 0 1 0 0 0 ]\n",
      "epoch9 sample 2 [1 2 0 1 0 0 0 ]\n",
      "epoch9 sample 3 [1 2 0 1 0 0 0 ]\n",
      "logical xor:\n",
      "epoch0 sample 0 [1 2 0 0 0 0 0 ]\n",
      "epoch0 sample 1 [1 2 0 1 0 0 0 ]\n",
      "epoch0 sample 2 [1 2 0 1 0 0 0 ]\n",
      "epoch0 sample 3 [1 2 0 1 -1 -1 -1 ]\n",
      "epoch1 sample 0 [0 1 -1 0 0 0 0 ]\n",
      "epoch1 sample 1 [0 1 -1 0 1 0 1 ]\n",
      "epoch1 sample 2 [1 1 0 1 0 0 0 ]\n",
      "epoch1 sample 3 [1 1 0 1 -1 -1 -1 ]\n",
      "epoch2 sample 0 [0 0 -1 0 0 0 0 ]\n",
      "epoch2 sample 1 [0 0 -1 0 1 0 1 ]\n",
      "epoch2 sample 2 [1 0 0 0 0 1 1 ]\n",
      "epoch2 sample 3 [1 1 1 1 -1 -1 -1 ]\n",
      "epoch3 sample 0 [0 0 0 0 0 0 0 ]\n",
      "epoch3 sample 1 [0 0 0 0 1 0 1 ]\n",
      "epoch3 sample 2 [1 0 1 1 0 0 0 ]\n",
      "epoch3 sample 3 [1 0 1 1 -1 -1 -1 ]\n",
      "epoch4 sample 0 [0 -1 0 0 0 0 0 ]\n",
      "epoch4 sample 1 [0 -1 0 0 1 0 1 ]\n",
      "epoch4 sample 2 [1 -1 1 0 0 1 1 ]\n",
      "epoch4 sample 3 [1 0 2 1 -1 -1 -1 ]\n",
      "epoch5 sample 0 [0 -1 1 1 0 0 -1 ]\n",
      "epoch5 sample 1 [0 -1 0 0 1 0 1 ]\n",
      "epoch5 sample 2 [1 -1 1 0 0 1 1 ]\n",
      "epoch5 sample 3 [1 0 2 1 -1 -1 -1 ]\n",
      "epoch6 sample 0 [0 -1 1 1 0 0 -1 ]\n",
      "epoch6 sample 1 [0 -1 0 0 1 0 1 ]\n",
      "epoch6 sample 2 [1 -1 1 0 0 1 1 ]\n",
      "epoch6 sample 3 [1 0 2 1 -1 -1 -1 ]\n",
      "epoch7 sample 0 [0 -1 1 1 0 0 -1 ]\n",
      "epoch7 sample 1 [0 -1 0 0 1 0 1 ]\n",
      "epoch7 sample 2 [1 -1 1 0 0 1 1 ]\n",
      "epoch7 sample 3 [1 0 2 1 -1 -1 -1 ]\n",
      "epoch8 sample 0 [0 -1 1 1 0 0 -1 ]\n",
      "epoch8 sample 1 [0 -1 0 0 1 0 1 ]\n",
      "epoch8 sample 2 [1 -1 1 0 0 1 1 ]\n",
      "epoch8 sample 3 [1 0 2 1 -1 -1 -1 ]\n",
      "epoch9 sample 0 [0 -1 1 1 0 0 -1 ]\n",
      "epoch9 sample 1 [0 -1 0 0 1 0 1 ]\n",
      "epoch9 sample 2 [1 -1 1 0 0 1 1 ]\n",
      "epoch9 sample 3 [1 0 2 1 -1 -1 -1 ]\n"
     ]
    }
   ],
   "source": [
    "def perceptron(samples):\n",
    "    w = np.array([1,2])\n",
    "    b = 0\n",
    "    a = 1\n",
    "    for i in range(10):\n",
    "        for j in range(4):\n",
    "            x = np.array(samples[j][:2])\n",
    "            y = 1 if np.dot(w,x)+b> 0 else 0\n",
    "            d = np.array(samples[j][2])\n",
    "            \n",
    "            delta_b = a*(d-y)\n",
    "            delta_w = a*(d-y)*x\n",
    "            print(\"epoch{} sample {} [{} {} {} {} {} {} {} ]\".format(\n",
    "            i, j, w[0],w[1], b, y, delta_w[0], delta_w[1], delta_b))\n",
    "            w = w + delta_w\n",
    "            b = b + delta_b\n",
    "if __name__ == '__main__':\n",
    "    print('logical and:')\n",
    "    perceptron(samples_and)\n",
    "    print(\"logic or:\")\n",
    "    perceptron(samples_or)\n",
    "    print(\"logical xor:\")\n",
    "    perceptron(samples_xor)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Image\n",
    "Image(filename =r\"感知器.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "感知器的原型是神经元模型。神经元接收来自N个外部神经元的输入信息。这些输入信号同故宫带有权重的连接进行传递，给本神经元。本神经元接收到的总输入将本神经元的阈值进行比较，比较后台，通过激活函数处理，产生输出。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "异或问题，两个值相同得0,不同得1。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 5,
     "metadata": {
      "image/png": {
       "height": 200,
       "width": 200
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(filename =r\"1.png\",width=200,height=200)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在二维空间的分布表现为"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAW4AAAFHCAYAAACBAaZxAAAKxUlEQVR4nO3dQZLjxhVFUdPRK5Cn1sza/4LkmTy1tlBq2MEQxSaJBJAA/kucM1N3iUCFPq+ykijg9vXd3wCI8fezTwCAZYQbIIxwA4QRboAwwg0QRrgBwgg3QBjhBggj3ABhhBsgjHADhBFugDDCDRBGuAHCCDdAGOEGCCPcAGGEGyCMcAOEEW6AMMINEEa4AcIIN0AY4QYII9wAYYQbIIxwA4QRboAwwg0QRrgBwgg3QBjhBggj3ABhhBsgjHADhBFugDDCDRBGuAHCCDdAGOEGCCPcAGGEGyCMcAOEEW6AMMINEEa4AcIIN0CYb2efwFFut9tf/vnr6+ukMwHY5hIr7udov/szgATDh/tToMUbSDR0uFvCLN5AmmHDvSTI09cKOJBiyHCvjbB4AwmGC/fW+Io3UN1Q4e4VXfEGKhsm3J9i++6a7U/Xctv3BqoaItxrot369+INVBMf7i3Rbv068QYqiQ53j2i3fr2tE6CK2HD3jPbjv2f1DVQXGe49or3kNcQbOFNcuPeOdutriTdwlqhwHxXtx9d0ySBQTUy4j472ktcXb+BIEeE+M9qtxxFv4Cjlw10h2mcdD+CV0uGuFO3H4wo4cKbS4X6nQjifz6HCOQHXEPew4EqBrHQuwHWUXnFb1QL8qPyKW6wB/qr0ihuAHwk3QBjhBggj3ABhhBsgjHADhBFugDDCDRBGuAHCCDdAmNvX4L9T/vvPv8x+zU+//XrAmXB1j7No5thiyHC3xPodbyj28GomzRprDRPuLbF+xxuLXt7NpxljjSH2uPeI9p6vC3dmjDWiV9xHDr2VEVtZddNLbLiXRHt6Y7x6fuX0rS99HdhCvOkhMtxrrhR5F+6lr+0NxlbizVZxe9wtYd3yBpj7d+1JshezRauoFfenwZ4LbuuKu9fx4JMqs+Xa8kwxK+4zBv3T61odsUWFSD7PsJnOERPud/Z+A4g3e3k3W3vP1fT6ZjdbRLjP/jCnwuqIMR0db8EeQ/lwnx3tueN5I7CX3rPliqlxlA83jG7v7biWrRHRzhIZ7rOGzKqbvewV770vn+UcpcMtiFxJ74BaZY+rdLhfOXvYzj4+Y+v1U51ojy0u3DC6LfGe28+2NTKGsuFO2yZJO18yfZozq+zrKBvuV6oMXpXzYFxLP6wU7Wv5dvYJAK9NsZ0LsmBfU9SKG67m0363aF+XcENxawIs2mMTbhiMaI9PuCFAS4xd6ncdwg0BXG7Ko6hwG16uxr2zeaVsuCv/yOeNxBF6/5o74ygb7jSV/0dDnrWX+on3NQg3FNLj+mzxHl/pcL8a0LOH8uzjM66l9872PNTrKh3ud84ayiqPUWM8a1fZZu+aIsMNo+ixNWK/+3puX9+dfRJzeqx0b7fbD3+25Fu32qa33vcaMaPXEbHiPntF4Q1Bb0feIMrKezwR4f5k76E09PS05139fFh5HRFbJXdzj2T6ZM1WyZbjwbOjVtnmdnxR4Z6sHf4l4XafY3o7eqZs740tbquk5ZcPtvxYKNocbY+ZOvtzIfYVt+K+WzKA0xB/WnG3vpZos9arGTtinqy8xxQb7smRqweDzlaP83rUPNnvHlN0uCd7x9twk068xxO3x/1sz6d+GGpGYI7HE7/iftZjBW7QGZH97nEMF+5nPniEP4n3GIYP993We5XACOx3jyF+jxtoJ85jEG64GPHOJ9xwQc/xFvMs9rgBwlhxA4QRboAwwg0QRrgBwgg3QBjhBggj3ABhhBsgjHADhBFugDDCDRBGuAHCCDdAGOEGCCPcAGGEGyCMcAOEEW6AMMINEEa4AcIIN0AY4QYII9wAYYQbIIxwA4QRboAwwg0QRrgBwgg3QBjhBggj3ABhhBsgjHADhBFugDDCDRBGuAHCCDdAGOEGCCPcAGGEGyCMcAOEEW6AMMINEEa4AcIIN0AY4QYII9wAYYQbIIxwA4QRboAwwg0QRrgBwgg3QBjhBggj3ABhhBsgjHADhBFugDDCDRBGuAHCCDdAGOEGCCPcAGGEGyCMcAOEEW6AMMINEEa4AcIIN0AY4QYII9wAYYQbIIxwA4QRboAwwg0QRrgBwgg3QBjhBggj3ABhhBsgjHADhBFugDDCDRBGuAHCCDdAGOEGCCPcAGGEGyCMcAOEEW6AMMINEEa4AcIIN0AY4QYII9wAYYQbIIxwA4QRboAwwg0QRrgBwgg3QBjhBggj3ABhvp19AsB7v//8y+zX/PTbrwecCZXcvr47+ySOcLvdfvizi3zrBGkJ9RwhH59wQwE9gv1MwMcl3HCiPYL9TMDH48NJOMkR0T7yOByn9Ir7ceC2rhqsuKlkSUw/zX6v1yFL2XC/GsgtgyfcVLD3VSKuQrmGqHBP1g6dcHO2uaj2DOqRx+J4cXvc9usYUe+QCvPYyq64J58ivXQwe6y4e+65cy09ZznhuOyrdLgnvQZva7h777lzHb23/VLP4e7xvVg8P2WV3yrp9Yn6FrZnWKv67Bx9fs8LqFcLKuaVD/fkrHhPr139jUemo1e6lX86nOIt4MtEhHtydLx9Ks9WlbYnPh23yuJEvNvFhHtyVLxFm72cPTtnH39uT9vqu01UuCd7xntua2Q69tmDT4Yqq9hWR55vyweS4v1ZXLgne8TbKpu9VZmhCucxxdvqe73IcE96xlu04RxW3+vEhnvSI96iDedqXX3zp/K/gNOi5Zd0nv/D//ef//r4moLNWtWuJnmn4i+VtQR6gGRtFr3ivlu68hZtjmam2lh9txki3JPWeIs21OeDy8+Gesr7FN13P6YKNmSZ4j0X5+nvr7h1MsyK+25NgEUbanLZ4GtlV9xb/0PMrbDv/vGff08H23QsePRq9iqGJeU8W13proMlV9w9hud/Qe7wNUCe5P8BtSi74t6iZbUt2kCqkivuLVq3SFq/Dnowb/RUMtxr96eWvjm8mdhDwk9zr2Y/4bxbjb7HXXarZOtjxR7NXSboqhJ6ezVvlWJS/fweLdmvrvo99FZyxb1E671GPq0m0m7BCVfRGu2WywZHEh3upTeIEm/OVGXGqpzHJ63XZl8t2Hex4V57Vz/x5ghp229Vzlew28SFu8dTasSbs5w9X2cf/50lv/145WDfRYW7572zxZu9VXs4b8XbzS4Ntmj/X0y493jgwdFPjoe7q8+XYG9T/kEKvYL9akju33rLgxhgrQor3QrnMHFpXx+lw91zlf0p3HPHEm+2OnO+0qJdOElllN0qOfpZkLZN2NMZ8zX3QX41tkTalQ33J3utFMSbs/Ser6SHYAv2cmW3Sno/yHRuq2Tu2D3OAVoCvWXG9n79ra50z+w9lQ335HEItw7bknA/H/uZeLNV6wq7ZdaWrNbN7hhKh7unpeGeVPlQhzEduf1mZscSucd9FMPOno6aL3M8HivuBj23bOCVPVbfZnVcwg2F9Ai4YI9PuKGw6leJcA7hBgjjw0mAMMINEEa4AcJcJtzP+9n2t4FU384+gSOJNTCCy6y4AUYh3ABhhBsgjHADhBFugDDCDRBGuAHCCDdAGOEGCCPcAGGEGyCMcAOEEW6AMMINEEa4AcIIN0AY4QYII9wAYYQbIIxwA4QRboAwwg0QRrgBwgg3QBjhBggj3ABhhBsgjHADhBFugDDCDRBGuAHCCDdAGOEGCCPcAGGEGyCMcAOEEW6AMMINEEa4AcL8Ad49nj2nJairAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 43,
     "metadata": {
      "image/png": {
       "height": 200,
       "width": 200
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(filename =r\"2.png\",width=200,height=200)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这这样可以把异或问题表现为点在二维平面上的分布问题。\n",
    "感知机的作用是，在平面上画一条线，线的一边是一类，一边是另一类。如果感知机只有两个输入，就在二维平面上，划线然后分类。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 6,
     "metadata": {
      "image/png": {
       "height": 200,
       "width": 200
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(filename =r\"3.png\",width=200,height=200)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "如上图，在\"异或\"问题上找不到一条直线能把X和O分开，就是说这是一个不能用直线分类的问题，这类问题叫非线性问题。同理，\"同或\"问题一样不能解决。\n",
    "所谓感知机(单层神经网络)不能解决异或问题就是不能解决画一条线在平面实现所有分类的问题。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
